US8506076B2 - Optimization and production of an eyeglass lens for correcting an astigmatic refraction - Google Patents

Optimization and production of an eyeglass lens for correcting an astigmatic refraction Download PDF

Info

Publication number
US8506076B2
US8506076B2 US13/129,354 US200913129354A US8506076B2 US 8506076 B2 US8506076 B2 US 8506076B2 US 200913129354 A US200913129354 A US 200913129354A US 8506076 B2 US8506076 B2 US 8506076B2
Authority
US
United States
Prior art keywords
primary
eye
spectacle lens
sight
correction
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Active, expires
Application number
US13/129,354
Other languages
English (en)
Other versions
US20110299032A1 (en
Inventor
Wolfgang Becken
Andrea Welk
Anne Seidemann
Gregor Esser
Helmut Altheimer
Dietmar Uttenweiler
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Rodenstock GmbH
Original Assignee
Rodenstock GmbH
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Priority claimed from DE200810057205 external-priority patent/DE102008057205A1/de
Priority claimed from DE200810057206 external-priority patent/DE102008057206A1/de
Application filed by Rodenstock GmbH filed Critical Rodenstock GmbH
Assigned to RODENSTOCK GMBH reassignment RODENSTOCK GMBH ASSIGNMENT OF ASSIGNORS INTEREST (SEE DOCUMENT FOR DETAILS). Assignors: SEIDEMANN, ANNE, ALTHEIMER, HELMUT, WELK, ANDREA, BECKEN, WOLFGANG, ESSER, GREGOR, UTTENWEILER, DIETMAR
Publication of US20110299032A1 publication Critical patent/US20110299032A1/en
Application granted granted Critical
Publication of US8506076B2 publication Critical patent/US8506076B2/en
Active legal-status Critical Current
Adjusted expiration legal-status Critical

Links

Images

Classifications

    • G—PHYSICS
    • G02—OPTICS
    • G02C—SPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
    • G02C7/00—Optical parts
    • G02C7/02—Lenses; Lens systems ; Methods of designing lenses
    • G02C7/024—Methods of designing ophthalmic lenses
    • G02C7/025—Methods of designing ophthalmic lenses considering parameters of the viewed object
    • G—PHYSICS
    • G02—OPTICS
    • G02C—SPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
    • G02C7/00—Optical parts
    • G02C7/02—Lenses; Lens systems ; Methods of designing lenses
    • G—PHYSICS
    • G02—OPTICS
    • G02C—SPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
    • G02C7/00—Optical parts
    • G02C7/02—Lenses; Lens systems ; Methods of designing lenses
    • G02C7/024—Methods of designing ophthalmic lenses
    • G02C7/027—Methods of designing ophthalmic lenses considering wearer's parameters
    • G—PHYSICS
    • G02—OPTICS
    • G02C—SPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
    • G02C7/00—Optical parts
    • G02C7/02—Lenses; Lens systems ; Methods of designing lenses
    • G02C7/06—Lenses; Lens systems ; Methods of designing lenses bifocal; multifocal ; progressive
    • G02C7/061—Spectacle lenses with progressively varying focal power
    • A—HUMAN NECESSITIES
    • A61—MEDICAL OR VETERINARY SCIENCE; HYGIENE
    • A61B—DIAGNOSIS; SURGERY; IDENTIFICATION
    • A61B3/00—Apparatus for testing the eyes; Instruments for examining the eyes
    • A61B3/10—Objective types, i.e. instruments for examining the eyes independent of the patients' perceptions or reactions
    • A61B3/113—Objective types, i.e. instruments for examining the eyes independent of the patients' perceptions or reactions for determining or recording eye movement

Definitions

  • the disclosure herein relates to a method for optimizing and producing at least one spectacle lens, in particular a spectacle lens pair, for correcting at least an astigmatic refraction of a first eye of a spectacle wearer, in particular for correcting a first astigmatic refraction of the first eye by a first spectacle lens of the spectacle lens pair and a second astigmatic refraction of a second eye of the spectacle wearer by a second spectacle lens of the spectacle lens pair.
  • the disclosure herein relates to at least one spectacle lens, in particular a spectacle lens pair, to be used in a specific situation of wear, for correcting at least an astigmatic refraction of a first eye of a spectacle wearer, in particular for correcting a first astigmatic refraction of the first eye and a second astigmatic refraction of a second eye of the spectacle wearer, a computer program product, a storage medium, and an apparatus for producing at least one spectacle lens, in particular a spectacle lens pair, for correcting at least an astigmatic refraction of a first eye of a spectacle wearer, in particular for correcting a first astigmatic refraction of the first eye and a second astigmatic refraction of a second eye of the spectacle wearer.
  • each spectacle lens is manufactured such that the best possible correction of a refractive error of the respective eye of the spectacle wearer is obtained for each desired direction of sight or each desired object point.
  • a spectacle lens is said to be fully corrective for a given direction of sight if the values sphere, cylinder, and axis of the wavefront upon passing the vertex sphere match with the values for sphere, cylinder, and axis.
  • the spectacle lenses are manufactured such that they achieve a good correction of visual defects of the eye and only small aberrations especially in central visual regions, while larger aberrations are permitted in peripheral regions. These aberrations depend on the type and scope of the necessary corrections as well as on the position of the spectacle lens, i.e. the respective visual point.
  • the axial position thereof is decisive as well.
  • these values are therefore measured for the eye to be corrected while the eye is in a measurement position or reference direction of sight, in particular the zero direction of sight.
  • a coordinate system is specified, and the axial position of the astigmatic refraction with respect to this coordinate system is determined.
  • the amount of the astigmatism can be indicated as the difference of the main refractive powers.
  • the coordinate system may be a Cartesian coordinate system with the axes e x , e y , and e z , its point of origin particularly being in the ocular center of rotation of the eye to be corrected.
  • the axis e z is preferably parallel to the reference direction of sight, in particular to the zero direction of sight, and is oriented in the direction of the main ray.
  • the axis e z is a horizontal axis, which with respect to the eye faces backward in the zero direction of sight, i.e. in the direction of the light ray.
  • the axis e x runs e.g.
  • the axis e z runs perpendicularly to the two other axes and is in particular vertically oriented upward.
  • the three axes e x , e y , and e z for example form a base coordinate system, in which also the axial position of an astigmatism to be corrected can be described.
  • the eye pair When looking through a spectacle lens, the eye pair continuously performs eye movements, whereby the visual points change within the spectacle lens.
  • eye movements always result in changes of the imaging properties, in particular of the aberrations for the spectacle lens.
  • each eye performs a torsion about the momentary axis of the direction of sight, which in particular depends on the direction of sight itself. In the case of an astigmatic refraction of the eye, this often leads to an unsatisfactory correction of the astigmatism especially in the near zone.
  • the disclosure herein provides a method and a computer program product for optimizing and producing at least a first spectacle lens, in particular a spectacle lens pair, in particular for correcting an astigmatic refraction with improved optical properties in particular for use of the spectacle lens or the spectacle lens pair in near vision.
  • the disclosure herein provides a method for optimizing and producing at least a first spectacle lens for a specific situation of wear for correcting at least a first astigmatic refraction (or a first vectorial astigmatic refraction) of a first eye of a spectacle wearer, which in a reference direction of sight ⁇ e z (1) of the first eye has a first cylinder value and a first axial position or cylinder reference axis ⁇ 0 (1) , i.e. a cylinder axis of the eye refraction of the first eye, when the first eye is positioned in the reference direction of sight of the first eye, comprising at least a primary calculation or optimization step of the first spectacle lens, i.e. of at least one surface of a surface area of the first spectacle lens (therefore also referred to as a first primary calculation or optimization step), which comprises:
  • the first primary calculation or optimization step comprises minimizing a primary merit function for at least one surface of the first spectacle lens (therefore also referred to as a first primary merit function), wherein in the first primary merit function for the at least one primary evaluation point i b (1,p) of the first spectacle lens, a correction of a first primary transformed astigmatic refraction or of a first primary transformed vectorial astigmatic refraction (an astigmatic refraction or a vectorial astigmatic refraction particularly being understood to be the pair of a cylinder value and a unit vector as the axis, which lies in the plane perpendicular to the direction of sight and faces in the direction of the axial position of the astigmatism) by the first spectacle lens in the specific situation of wear is taken into account or evaluated such that the first primary transformed astigmatic refraction depends on the determined corresponding primary direction of sight ⁇ e ⁇ ,k (2,p) of the second eye, i.e. has different values for at least two different corresponding primary directions of sight
  • a stationary or object-fixed base coordinate system for the respective eye is specified, as has been described above by way of example.
  • the cylinder axis of an astigmatic refraction of the respective eye i.e. of the first and/or the second eye
  • the reference direction of sight of the first and/or the second eye is the respective zero direction of sight and goes horizontally straight on into the distance or into infinity.
  • the transformed astigmatic refraction is indicated as the astigmatic refraction in the reference direction of sight in the form of a cylinder value (in particular as a scalar variable with the unit D) and an axial position (e.g.
  • this transformed astigmatic refraction is then taken into account in the merit function, in particular the first primary merit function, as the refraction of the eye to be corrected in the direction of sight belonging to the first evaluation point.
  • the disclosure herein relates to a method for optimizing and producing the first spectacle lens for a pair of spectacle lenses to be used together with a second spectacle lens of the pair of spectacle lenses in spectacles for the specific situation of wear, wherein determining the corresponding primary direction of sight ⁇ e ⁇ ,k (2,p) of the second eye comprises determining a corresponding primary evaluation point i b (2,p) of the second spectacle lens, which corresponds to the primary evaluation point i b (1,p) of the first spectacle lens in the specific situation of wear, taking into account a prismatic power of the first spectacle lens and/or of the second spectacle lens, to be optimized, in the primary evaluation point of the first or the second spectacle lens, respectively, in the specific situation of wear.
  • the method preferably comprises detecting a second cylinder reference axis ⁇ 0 (2) of a second astigmatic refraction of the second eye in a reference direction of sight ⁇ e z (2) of the second eye, wherein the first primary merit function for the at least one surface of the first spectacle lens depends on a correction of a second primary transformed astigmatic refraction by the second spectacle lens in the specific situation of wear, wherein the second primary transformed astigmatic refraction has a second primary cylinder correction axis ⁇ K (2,p) , which encloses a second primary correction torsion angle ⁇ K (2,p) with a second primary torsion reference axis e L (2,p) , which is perpendicular both to the reference direction of sight ⁇ e z (2) of the second eye and to the corresponding primary direction of sight ⁇ e ⁇ ,k (2,p) of the second eye, said second primary correction torsion angle ⁇ K (2,p) deviating from a second primary reference torsion angle ⁇ 0
  • the second spectacle lens is known prior to the optimization of the first lens to be produced and remains unchanged in the optimization.
  • the corresponding visual point of the lens which remains unchanged, is calculated, so that the Helmholtz angles can be determined therefrom.
  • the torsional position of the eye is preferably determined according to equations (8) and (9).
  • the disclosure herein relates to a method for optimizing and producing a spectacle lens pair for a specific situation of wear for correcting a first astigmatic refraction of a first eye of a spectacle wearer, which in a reference direction of sight ⁇ e z (1) of the first eye has a first cylinder value and a first axial position or cylinder reference axis ⁇ 0 (1) , i.e.
  • a cylinder axis of the eye refraction of the first eye when the first eye is positioned in the reference direction of sight of the first eye, by a first spectacle lens of the spectacle lens pair, and a second astigmatic refraction of a second eye of the spectacle wearer, which in a reference direction of sight ⁇ e z (2) of the second eye has a second cylinder value and a second axial position or cylinder reference axis ⁇ 0 (2) , i.e. a cylinder axis of the eye refraction of the second eye if the second eye is positioned in the reference direction of sight of the second eye, by a second spectacle lens of the spectacle lens pair, comprising a primary calculation or optimization step of the first spectacle lens, i.e. of at least one surface of a surface area of the first spectacle lens (therefore also referred to as a first primary calculation or optimization step), which comprises:
  • the method preferably comprises a secondary calculation or optimization step of the second spectacle lens, i.e. of at least one surface or a surface area of the second spectacle lens (therefore also referred to as a second secondary calculation or optimization step), depending on the first spectacle lens determined in the first primary calculation or optimization step.
  • a secondary calculation or optimization step of the second spectacle lens i.e. of at least one surface or a surface area of the second spectacle lens (therefore also referred to as a second secondary calculation or optimization step), depending on the first spectacle lens determined in the first primary calculation or optimization step.
  • the calculation or optimization of the second spectacle lens is performed by analogy with the calculation or optimization of the first spectacle lens, wherein the first spectacle lens determined in the first primary calculation or optimization step is correspondingly taken into consideration in the calculation or optimization of the second spectacle lens in an analogous manner, just like the starting value of the second spectacle lens in the calculation or optimization of the first spectacle lens.
  • a second secondary merit function is minimized.
  • the first primary or the second secondary merit function particularly evaluates local values of the refraction deficit of the first or the second spectacle lens in a multitude of evaluation points of the respective spectacle lens, i.e. for a multitude of different directions of sight of the associated eye in the specific situation of wear.
  • the direction of sight of the respective eye corresponding to the specific situation of wear is determined on the one hand, and on the other hand, preferably for each evaluation point, an astigmatic refraction of the first or the second eye, which corresponds to the determined direction of sight but is corrected or transformed for the situation of wear with respect to a corresponding eye movement of the other eye on the basis of a desired value of the second spectacle lens or the determined first spectacle lens, is taken into account.
  • an optimization or production of at least one spectacle lens is achieved by a successive monocular calculation or optimization of individual spectacle lenses, wherein in the respective monocular calculation or optimization step (primary and/or secondary calculation or optimization step) for one of the two spectacle lenses, the other spectacle lens is taken into account, but remains unchanged until in particular a desired or predetermined convergence of a monocular optimization method, in particular in the first primary calculation or optimization step, is reached for said one spectacle lens.
  • a very efficient and fast production of a spectacle lens, in particular of a spectacle lens pair is achieved thereby.
  • the cylinder prescriptions are taken into account preferably for both spectacle lenses of the spectacle lens pair.
  • the method for optimizing and producing a first spectacle lens and for optimizing and producing a spectacle lens pair preferably changes the coupled degrees of freedom of two lenses and thereby improves binocular vision
  • the effort, in particular the numeral effort, of the method involves only the effort of a few monocular optimizations.
  • FIG. 1 illustrates an exemplary representation of Helmholtz coordinates according to a preferred embodiment
  • FIG. 2A illustrates an exemplary schematic representation of a pair of eyes with a parallel first and second directions of sight
  • FIG. 2B illustrates an exemplary schematic representation of a pair of eyes with a convergent first and second directions of sight
  • FIG. 3 illustrates an exemplary schematic representation of the course of a method for optimizing and producing a spectacle lens pair according to a first preferred embodiment
  • FIG. 4 illustrates an exemplary schematic representation of a method according to a second preferred embodiment
  • FIG. 5 illustrates an exemplary schematic representation of a method according to a third preferred embodiment
  • FIG. 6A illustrates exemplary isoastigmatism lines of the refraction deficit of a spectacle lens optimized without considering the direction of sight of the other eye for an evaluation without consideration of the direction of sight of the other eye;
  • FIG. 6B illustrates exemplary isoastigmatism lines of the refraction deficit of a spectacle lens optimized without considering the direction of sight of the other eye for an evaluation with consideration of the direction of sight of the other eye;
  • FIG. 6C illustrates an exemplary course of the refraction deficit with respect to the refractive power (left curve) and the astigmatism (right curve) along the main line of FIG. 6A ;
  • FIG. 6D illustrates an exemplary course of the refraction deficit with respect to the refractive power (left curve) and the astigmatism (right curve) along the main line of FIG. 6B ;
  • FIG. 7A illustrates exemplary isoastigmatism lines of the refraction deficit of a spectacle lens optimized without considering the direction of sight of the other eye, for an evaluation with consideration of the direction of sight of the other eye;
  • FIG. 7B illustrates exemplary isoastigmatism lines of the refraction deficit of a spectacle lens of a spectacle lens pair optimized with consideration of the direction of sight of the other eye, for an evaluation with consideration of the direction of sight of the other eye;
  • FIG. 7C illustrates an exemplary a course of the refraction deficit with respect to the refractive power (left curve) and the astigmatism (right curve) along the main line of FIG. 7A ;
  • FIG. 7D illustrates an exemplary course of the refraction deficit with respect to the refractive power (left curve) and the astigmatism (right curve) along the main line of FIG. 7B ;
  • FIG. 8 illustrates a table of the vertex depths of the back surface of the spectacle lens according to the embodiments of FIGS. 7A-7D ;
  • FIG. 9 illustrates a schematic representation of an apparatus for optimizing and producing a spectacle lens or a spectacle lens pair according to an exemplary embodiment.
  • a further characterization of a variable in conformity with a preferred embodiment i.e. if such a characterization can be equally applied to each eye or spectacle lens or to each calculation or optimization step, the defined designation or the corresponding index can be omitted for the corresponding variable.
  • the correction of a first primary transformed astigmatic refraction by the first spectacle lens in the specific situation of wear is taken into account such that the first primary transformed astigmatic refraction with respect to the primary direction of sight of the first eye has the first cylinder value and a first primary cylinder correction axis ⁇ K (1,p) (i.e.
  • the first primary merit function evaluates particularly local values of the refraction deficit of the first spectacle lens in a multitude of evaluation points of the spectacle lens, i.e. for a multitude of different directions of sight of the first eye in the specific situation of wear.
  • the direction of sight of the first eye corresponding to the specific situation of wear is determined on the one hand, and on the other hand, preferably for each evaluation point, an axial position of the astigmatic refraction of the first eye, which corresponds to the determined direction of sight but is corrected for the situation of wear with respect to the second eye, is taken into account.
  • a model is taken as a basis for the torsion adjustment of the first eye, which in addition depends on the direction of sight of the second eye.
  • binocular vision is improved in the near zone.
  • the second secondary calculation or optimization step thus preferably comprises:
  • the second secondary calculation or optimization step of the second spectacle lens comprises copying at least one surface of the first spectacle lens determined in the first primary calculation or optimization step.
  • the second spectacle lens or at least one surface of the second spectacle lens is determined in particular by copying and mirroring for example vertex depths or other coefficients for describing the determined first spectacle lens or the at least one surface of the first spectacle lens. This is particularly advantageous if the refractions of the two eyes of the spectacle wearer are symmetric or mirror-symmetric or have symmetric or mirror-symmetric deficits.
  • Such copying and mirroring can in particular be performed as a last calculation or optimization step of a multitude of successively performed calculation or optimization steps.
  • the method comprises:
  • the second primary calculation or optimization step comprises:
  • the second primary calculation or optimization step further comprises minimizing a primary merit function for at least one surface of the second spectacle lens (therefore also referred to as a second primary merit function), wherein in the second primary merit function for the at least one primary evaluation point i b (2,p) of the second spectacle lens, a correction of a second primary transformed astigmatic refraction by the second spectacle lens in the specific situation of wear is taken into account such that the second primary transformed astigmatic refraction with respect to the primary direction of sight of the second eye has the second cylinder value and a second primary cylinder correction axis ⁇ K (2,p) (i.e.
  • the first secondary calculation or optimization step preferably comprises:
  • eye torsion is taken into account in a merit function of a spectacle lens, particularly in the first primary merit function, by a torsion correction angle ⁇ ⁇ (1) (e ⁇ (2) ) particularly the first primary torsion correction angle ⁇ ⁇ (1,p) (e ⁇ ,k (2,p) ).
  • a torsion correction angle ⁇ ⁇ (1) (e ⁇ (2) ) particularly the first primary torsion correction angle ⁇ ⁇ (1,p) (e ⁇ ,k (2,p) ).
  • the minimization of the merit function is preferably performed by varying at least one surface of the respective spectacle lens and evaluating the optical properties of the spectacle lens in the specific situation of wear until the value of the merit function has fallen below a predetermined threshold value or until the value of the merit function between successive evaluation steps or recursion steps does not change any more or changes less than a predetermined threshold value.
  • a threshold value can be defined as a termination criterion for the calculation or optimization step.
  • a corresponding pair of directions of sight of the first and left eyes results for many object points, which generally are not arranged symmetrically and during eye movements change depending on the object position and depending on the first spectacle lens and possibly a second spectacle lens.
  • object points which generally are not arranged symmetrically and during eye movements change depending on the object position and depending on the first spectacle lens and possibly a second spectacle lens.
  • the situation of wear specifies a positioning of the spectacle lens or the spectacle lenses in front of the eyes of the spectacle wearer and an object distance model.
  • data of wear relating to a positioning of the spectacle lenses for a spectacle wearer and relating to a visual task of the spectacle wearer are gathered and provided.
  • Such data of wear preferably comprise frame data, in particular with respect to a box dimension of the frame lenses or frame spectacle lens shapes and/or the bridge width and/or a face form angle and/or a forward inclination etc. of the spectacles.
  • the data of wear relating to a visual task comprise a specification on mainly used viewing angle zones and/or mainly used object distances.
  • the specific situation of wear for a multitude of directions of sight of at least one eye of the spectacle wearer uniquely specifies the position of an associated object point such that the visual ray of the other eye when looking at the same object point (depending on the optical power of the associated spectacle lens) is uniquely specified as well.
  • the two visual rays (for the left and right eyes) belonging to an object point are referred to as corresponding visual rays.
  • Respective penetration points of the corresponding visual rays through the two spectacle lenses are referred to as corresponding visual points.
  • each visual point can represent an evaluation point for the spectacle lens on the front and/or the back surface of a spectacle lens.
  • the respective evaluation point might also be represented by the corresponding visual ray or the direction of sight and/or the object point.
  • the evaluation points of a spectacle lens are represented by two coordinates of a coordinate system specified with respect to the spectacle lens. To this end, preferably a Cartesian x-y-z coordinate system is specified, the origin of which e.g.
  • the evaluation points can in particular be represented by the x-y coordinates of the visual points.
  • Pairs of evaluation points of the left and the right spectacle lens, which represent corresponding visual points, are referred to as corresponding evaluation points.
  • the corresponding evaluation points relate to a common object point viewed by both eyes at the same time, which is why the corresponding evaluation points depend on the specific situation of wear.
  • the first or the second spectacle lens or the spectacle lens pair to be optimized or the spectacle lenses of the spectacle lens pair can be produced or optimized for a predetermined or predeterminable situation of wear of an average or individually determined spectacle wearer.
  • An average situation of wear (as defined in DIN 58 208 part 2) can be characterized by:
  • the position of wear can be specified on the basis of a standardized position of wear. If the spectacle frame or the spectacles according to a standardized position of wear are used, the ocular center of rotation distance is approx. 27.4 mm or approx. 27.9 mm or approx. 28.5 mm or approx. 28.8 mm, the forward inclination, i.e. the pantoscopic angle, is approx. 8°, the face form angle is approx. 0°, the pupillary distance is approx. 63 mm, the corneal vertex distance is approx. 15 mm, the object distance in the distance reference point is approx. 0 D, and the object distance in the near reference point is approx. ⁇ 2.5 D.
  • the ocular center of rotation distance is approx. 26.5 mm
  • the forward inclination, i.e. the pantoscopic angle is approx. 9°
  • the face form angle is approx. 5°
  • the pupillary distance is approx. 64 mm
  • the corneal vertex distance is approx. 13 mm.
  • the ocular center of rotation distance is approx. 28.5 mm
  • the forward inclination, i.e. the pantoscopic angle is approx. 7°
  • the face form angle is approx. 0°
  • the pupillary distance is approx. 63 mm
  • the corneal vertex distance is approx. 15 mm.
  • the ocular center of rotation distance is approx. 25 mm
  • the forward inclination, i.e. the pantoscopic angle is approx. 8°
  • the face form angle is approx. 5°
  • the pupillary distance is approx. 64 mm
  • the corneal vertex distance is approx. 13 mm.
  • the ocular center of rotation distance is approx. 27.5 mm
  • the forward inclination, i.e. the pantoscopic angle is approx. 11°
  • the face form angle is approx. 0°
  • the pupillary distance is approx. 65 mm
  • the corneal vertex distance is approx. 14 mm.
  • individual parameters of the eye or the eyes of a specific spectacle wearer (ocular center of rotation, entrance pupil, and/or principal plane, etc.), the individual position of wear or arrangement in front of the eyes of the spectacle wearer (face form angle, pantoscopic angle, corneal vertex distance, etc.), and/or the individual object distance model can be taken into consideration.
  • a fixed, tilted coordinate system is described, in which the wavefront is illustrated and which is appropriately associated with the base coordinate system in the straight direction of sight, to which system the refraction data preferably refer.
  • this coordinate transition is appropriately described e.g. by Helmholtz coordinates ( ⁇ , , ⁇ ).
  • Helmholtz coordinates ⁇ , , ⁇
  • a different representation such as Fick's coordinates or Euler angle
  • a preferred use of the Helmholtz coordinates is exemplarily described. This may be performed separately for each eye, which is expressed by a superscript “(1)” for the first eye or “(2)” for the second eye, or in some examples also by a superscript “(l)” for the left eye or “(r)” for the right eye. As far as it is not explicitly distinguished between the first and the second eye, this index may be omitted for the sake of simplicity.
  • determining the primary direction of sight ⁇ e ⁇ (1,p) of the first eye preferably comprises determining a primary first Helmholtz angle (1,p) of the first eye and a primary second Helmholtz angle ⁇ (1,p) of the first eye for the at least one first primary evaluation point i b (1,p) of the first spectacle lens such that the reference direction of sight ⁇ e z (1) of the first eye transitions into the primary direction of sight ⁇ e ⁇ (1,p) of the first eye by a combination of a first rotation of the first eye about a horizontal first rotation axis e x (1) of the first eye, which is perpendicular to the reference direction of sight ⁇ e z (1) of the first eye, (in particular through the ocular center of rotation) of the first eye (first base axis of the first eye) by the primary first Helmholtz angle (1,p) of the first eye, and of a second rotation of the first eye about a primary second rotation axis e y,H (1,p) of the
  • determining the corresponding primary direction of sight ⁇ e ⁇ ,k (2,p) of the second eye comprises determining a corresponding primary first Helmholtz angle k (2,p) of the second eye and a corresponding primary second Helmholtz angle ⁇ k (2,p) of the second eye (in particular with respect to a reference direction of sight ⁇ e z (2) of the second eye) such that the reference direction of sight ⁇ e z (2) of the second eye transitions into the corresponding primary direction of sight ⁇ e ⁇ ,k (2,p) of the second eye by a combination of a first rotation of the second eye about a horizontal first rotation axis e x (2) of the second eye, which is perpendicular to the reference direction of sight ⁇ e z (2) (in particular through the ocular center of rotation) of the second eye (first base axis of the second eye), by the corresponding primary first Helmholtz angle k (2,p) of the second eye, and of a second rotation of the second eye about a corresponding corresponding primary
  • the first rotating axis e x (i) is perpendicular to the reference direction of sight ⁇ e z (i) of the eye and, in the specific situation of wear (in particular for the usual straight head posture of the spectacle wearer), runs horizontally through the ocular center of rotation of the eye.
  • the second rotating axis e y,H (i) of the eye is specified as an axis that results from a second base axis e y (i) of the eye by a rotation about the first rotating axis e x (i) of the eye by the first Helmholtz angle (i) of the eye, i.e.
  • the second base axis e y (i) which is rotated about the first rotating axis e x (i) of the eye by the first Helmholtz angle (i) of the eye, coincides with the second rotating axis e y,H (i) .
  • the second base axis e y (i) of the eye in turn is perpendicular both to the reference direction of sight ⁇ e z (i) of the eye and to the first rotating axis e x (i) of the eye.
  • an ocularly fixed coordinate system or a moving trihedron (e x,H (i) ,e y,H (i) ,e z,H (i) ) is defined, which arises from the basis vectors of the base coordinate system when the Helmholtz matrix H is applied:
  • the third angle ⁇ cannot be derived from the direction of sight, but instead arises from an appropriate torsion adjustment of the eye.
  • different physiological models are available.
  • a model demanding that the final position of the eye is specified in that the eye is brought to the final position by a rotation about the torsion reference axis e L from the zero direction of sight, wherein the torsion reference axis e L is characterized in that it entirely lies in the plane that is perpendicular to the zero direction of sight, is referred to as Listing's model or Listing's rule “L1” or Listing's rule for distance vision, since it only provides a good approximation for distance vision.
  • the torsion reference axis e L in Helmholtz coordinates is given by
  • the first primary torsion correction angle ⁇ ⁇ (1,p) (e ⁇ (1,p) ,e ⁇ ,k (2,p) ) depends both on the determined primary direction of sight ⁇ e ⁇ (1,p) of the first eye and on the determined corresponding primary direction of sight ⁇ e ⁇ ,k (2,p) of the second eye.
  • the second primary torsion correction angle and/or the first and/or the second secondary and/or tertiary, etc., torsion correction angle depends both on the determined direction of sight of the respective eye and on the determined corresponding direction of sight of the respective other eye.
  • the torsion correction angle preferably depends on the first and second Helmholtz angles of the first and second eyes.
  • ⁇ ⁇ ( 1 ) arctan ( tan ( ⁇ k ( 2 ) 2 ) ⁇ tan ( ⁇ k ( 2 ) 2 ) ) - arctan ( tan ( ⁇ ( 1 ) 2 ) ⁇ tan ( ⁇ ( 1 ) 2 ) ) ( 7 )
  • ⁇ ⁇ ( 2 ) arc ⁇ ⁇ tan ( tan ( ⁇ k ( 1 ) 2 ) ⁇ tan ( ⁇ k ( 1 ) 2 ) ) - arc ⁇ ⁇ tan ( tan ( ⁇ ( 2 ) 2 ) ⁇ tan ( ⁇ ( 2 ) 2 ) ) .
  • ⁇ ⁇ ( 1 ) 2 ⁇ arc ⁇ ⁇ tan ( tan ⁇ ( ⁇ ( 1 ) + ⁇ k ( 2 ) 4 ) ⁇ tan ( ⁇ ( 1 ) + ⁇ k ( 2 ) 4 ) ) - 2 ⁇ arc ⁇ ⁇ tan ( tan ⁇ ( ⁇ ( 1 ) 2 ) ⁇ tan ( ⁇ ( 1 ) 2 ) ) . ( 9 )
  • ⁇ ⁇ ( 2 ) 2 ⁇ arc ⁇ ⁇ tan ( tan ⁇ ( ⁇ ( 2 ) + ⁇ k ( 1 ) 4 ) ⁇ tan ( ⁇ ( 2 ) + ⁇ k ( 1 ) 4 ) ) - 2 ⁇ arc ⁇ ⁇ tan ( tan ⁇ ( ⁇ ( 2 ) 2 ) ⁇ tan ( ⁇ ( 2 ) 2 ) ) .
  • Equation (9) arises particularly from the cyclopean eye model by averaging Helmholtz angles according to
  • Listing's Rule L1 for distance vision will be referred to as Listing's Rule L2 for near vision in the following.
  • spectacle lenses can be optimized without a great technical effort, since the Helmholtz torsions can be calculated in a simple manner.
  • the exemplary embodiments can be applied without restrictions to the vertical viewing angles for left and right.
  • the other lens remains unchanged.
  • the corresponding visual point of the lens which remains unchanged, is calculated, so that the Helmholtz angles can be determined therefrom.
  • the torsional position of the eye is preferably determined according to equations (8) and (9).
  • the method comprises providing a first or a second starting surface, respectively, for the at least one surface of the first and/or the second spectacle lens, wherein the starting surface is determined by minimizing a monocular merit function, which does not depend on the corresponding direction of sight ⁇ e ⁇ ,k of the other eye.
  • the torsion correction angle is equal to zero.
  • the Helmholtz torsion is equal to zero.
  • the method comprises specifying at least one torsion correction area, in particular a first and/or a second torsion correction area, of the first or second spectacle lens, respectively, in particular of the spectacle lens pair to be optimized and produced, which area comprises a multitude of first or second evaluation points i b , respectively, of the respective spectacle lens, wherein the determination of the first or second direction of sight ⁇ e ⁇ , respectively, is performed for each evaluation point i of the first or second spectacle lens, respectively, and the determination of the corresponding direction of sight ⁇ e ⁇ ,k of the respective other eye is performed at least for each evaluation point i b of the corresponding torsion correction area, and wherein in the merit function, for at least each evaluation point i b or the corresponding torsion correction area, a correction of a respective transformed astigmatic refraction by the respective spectacle lens in the specific situation of wear is taken into account such that the respective torsion correction angle ⁇ ⁇ (e ⁇ ,k ) depends on the determined corresponding direction of sight
  • the torsion correction area of the first and/or the second spectacle lens comprises a near zone of the spectacle lens at least in parts.
  • the torsion correction area comprises a near reference point of the spectacle lens.
  • the torsion correction area preferably does not comprise a distance zone of the spectacle lens at least in parts.
  • a correction of a transformed astigmatic refraction by the spectacle lens in the specific situation of wear is taken into account such that the correction torsion angle ⁇ K matches with the respective reference torsion angle ⁇ 0 .
  • the optimization is performed outside the specified torsion correction area on the basis of Listing's rule, according to which the corresponding direction of sight does in particular not have to be taken into account.
  • This is of particular advantage in a distance portion or distance zone of the spectacle lens or the spectacle lens pair, where the influence of the direction of sight of the second eye on the torsional position of the first eye is little.
  • the optimization and production can be performed in a quick and efficient manner, since the computing effort is kept low.
  • the merit function for evaluation points outside the torsion correction area and in particular at least partially for evaluation points of the distance zone does not depend on the corresponding direction of sight of the other eye.
  • the disclosure herein relates to a method for optimizing and producing a spectacle lens pair or a spectacle lens for a pair of spectacle lenses for correcting anisometropia.
  • anisometropia significant prismatic differences often occur between the right and left spectacle lenses especially in the case of a non-central direction of sight, which has a significant influence on the convergence movement of the eyes and thus on the torsional position in the respective evaluation point for these directions of sight or the corresponding evaluation points.
  • a significant improvement of the imaging quality can be achieved in particular for such types of spectacles.
  • the corresponding direction of sight ⁇ e ⁇ ,k which corresponds to the first and/or the second direction of sight ⁇ e ⁇ in the specific situation of wear, is determined for the at least one evaluation point i b of the first and/or the second spectacle lens by ray tracing assuming orthotropia.
  • the disclosure herein relates to a use of a spectacle lens or a spectacle lens pair, produced according to one of the above-described methods, in spectacles for correcting anisometropia.
  • the disclosure herein provides a computer program product including program parts, which, when loaded and executed on a computer, are adapted to perform a method for optimizing at least a first spectacle lens for a specific situation of wear for correcting at least a first astigmatic refraction of a first eye of a spectacle wearer, which has a first cylinder reference axis ⁇ 0 (1) in a reference direction of sight ⁇ e z (1) of the first eye, wherein the method comprises at least a first primary calculation or optimization step of the first spectacle lens, which comprises:
  • the computer program product comprises program parts, which, when loaded and executed on a computer, are adapted to perform a method according to the present exemplary embodiments thereof.
  • the disclosure herein provides a storage medium with a computer program stored thereon, said computer program being adapted, when loaded and executed on a computer, to perform a method for optimizing at least a first spectacle lens for a specific situation of wear for correcting at least a first astigmatic refraction of a first eye of a spectacle wearer, which has a first cylinder reference axis ⁇ 0 (1) in a reference direction of sight ⁇ e z (1) of the first eye, wherein the method comprises at least a first primary calculation or optimization step of the first spectacle lens, which comprises:
  • a computer program code is stored on the storage medium, which, when loaded and executed on a computer, is adapted to perform a method according to the exemplary embodiments thereof.
  • the disclosure herein provides an apparatus for producing at least a first spectacle lens, in particular a spectacle lens pair, wherein the apparatus comprises gathering means or a gathering unit for gathering merit data of a spectacle lens pair and calculation and optimization means or a calculation and optimization unit for calculating and optimizing at least a first spectacle lens.
  • the gathering unit or the gathering means is/are adapted to gather prescription data, such as a first astigmatic refraction of a first eye of a spectacle wearer, which in a first reference direction of sight ⁇ e z (1) of the first eye has a first cylinder value and a first cylinder reference axis ⁇ 0 (1) , and/or a second astigmatic refraction of a second eye of the spectacle wearer, which in a reference direction of sight ⁇ e z (2) of the second eye has a second cylinder value and a second cylinder reference axis ⁇ 0 (2) .
  • the gathering means are further adapted to at least partially gather or specify the specific situation of wear.
  • the calculation and optimization means are adapted to calculate and optimize at least a first spectacle lens for a specific situation of wear for correcting at least the first astigmatic refraction of the first eye of the spectacle wearer, wherein the calculation and optimization are performed such as to comprise at least a first primary calculation or optimization step of the first spectacle lens, which comprises:
  • the apparatus is adapted to perform a method according to the exemplary embodiment thereof.
  • the merit function in particular as the first and/or the second primary and/or secondary merit function, in particular a function F with the following functional relationship to the spherical power S, the amount of the cylindrical power Z, and the axial position of the cylinder a (also referred to as a “SZA” combination) is taken into account and minimized:
  • At least the actual refraction deficits of the spherical power S ⁇ ,i and the cylindrical power Z ⁇ ,i as well as desired values for the refraction deficits of the spherical power S ⁇ ,i,desired and the cylindrical power Z ⁇ ,i,desired are taken into account in the merit function F at the evaluation points i of the respective spectacle lens.
  • the respective refraction deficits at the respective evaluation points are preferably taken into account with weighting factors g i,S ⁇ or g i,Z ⁇ .
  • the desired values for the refraction deficits of the spherical power S ⁇ ,i,desired and/or the cylindrical power Z ⁇ ,i,desired particularly together with the weighting factors g i,S ⁇ or g i,Z ⁇ form the so-called spectacle lens design.
  • further residues, in particular further variables to be optimized, such as coma and/or spherical aberration and/or prism and/or magnification and/or anamorphotic distortion, etc. can be taken into account, which is in particular implied by the expression “+ . . . ”.
  • the wavefront has a specific SZA combination at the vertex sphere.
  • the aim of the spectacle lens optimization is for this SZA combination to match with the SZA combination of the refraction determination or, in conformity with the exemplary embodiments, with a transformed SZA combination depending on the respective direction of sight in the best possible way. Since, as a rule, this is not achieved simultaneously at all visual points i at the same time, a merit function is established, the minimization of which leads to a most suitable compromise with respect to all evaluation points or visual points i.
  • refractive power matrix or vergence matrix S is considered, which is related to the values for the spherical power S, the amount of the cylindrical power Z, and the axial position of the cylinder ⁇ as follows:
  • the vergence matrix S is determined for the SZA values S SK , Z SK , ⁇ SK at the vertex sphere on the one hand, and for the SZA values S Ref , Z Ref , ⁇ Ref transformed according to the exemplary embodiment from the refraction determination for the at least one eye of the spectacle wearer on the other hand.
  • S SK or S Ref This results in S SK or S Ref .
  • S SK describes the local power of the spectacle lens so to speak
  • S Ref describes the power desired in the ideal case for the spectacle wearer.
  • the SZA values determined from the refraction determination for the spectacle wearer are directly used for the determination of S ref , but the SZA values transformed for the respective direction of sight of the one eye in dependence on the corresponding direction of sight of the other eye, i.e. in particular the transformed astigmatic refraction.
  • the transformation particularly relates to the viewing angle-dependent determination or specification of the angle ⁇ Ref , which describes the position of the cylinder correction axis in the transformed astigmatic refraction.
  • FIG. 1 shows a graphic definition of Helmholtz coordinates for optimizing a spectacle lens or a spectacle lens pair according to a preferred embodiment. Own Helmholtz coordinates could be introduced for each of the two eyes. In FIG. 1 , this is shown exemplarily for only one eye.
  • the ocularly fixed trihedron (e x,H ,e y,H ,e z,H ) of the eye results from the spatially fixed trihedron (e x ,e y ,e z ) by the following steps:
  • the z axis e z describes the direction of the eye-side main ray in the reference direction of sight, while the rotated z axis represents the direction of the eye-side main ray in the first or the second direction of sight.
  • FIG. 2A illustrates Listing's rule for distance vision. Both eyes have the same viewing angles and ⁇ , and consequently also the same torsion angle ⁇ Helmholtz ( ⁇ , ) in the Helmholtz representation according to equation (6).
  • Helmholtz coordinates relate to the spatially fixed trihedron (e x ,e y ,e z ), which is also drawn in in FIG. 2A .
  • FIG. 2B illustrates a modification of Listing's rule according to a preferred embodiment.
  • the eyes converge, and thus the left eye has a different pair of viewing angles ( ⁇ (l) , (l) ) than the right eye, which is described by ( ⁇ (r) , (r) ).
  • the torsion angles ⁇ Helmholtz ( ⁇ , ) according to equation (6) are different, ⁇ (l) ⁇ (r) .
  • the Helmholtz coordinates relate to the spatially fixed trihedron (e x ,e y ,e z ), which is drawn in in FIG. 2B .
  • This torsion correction is also referred to as “Listing's rule for near vision” or “Listing's rule 2 (L2)”.
  • the magnitude of this correction is up to 4°, depending on the direction of sight, for a convergence angle of 30° and decreases to zero, as expected, if the convergence angle is almost zero (vision to infinity).
  • a particularly efficient and flexible optimization of a spectacle lens pair for correcting an astigmatic refraction is provided taking this angle correction into account, which offers great improvement in particular for near vision and for prismatic difference of two spectacle lenses of spectacles.
  • Listing's rule for near vision states that instead of the different angles indicated in equation (14), the two eyes assume the mean value of equation (8), i.e.
  • the influences of the spectacle lens e.g. by their local prismatic effects are not shown.
  • they are taken into account in the determination of the respective directions of sight, in particular in the determination of the corresponding directions of sight, e.g. by a ray tracing method.
  • FIG. 3 shows a schematic representation of the course of a method for optimizing and producing a spectacle lens pair according to a first preferred embodiment.
  • a starting lens A( 2 ) in the form of starting values for the second lens, for example the right lens is taken as a basis.
  • this second spectacle lens A( 2 ) is already optimized monocularly for the correction of the eye refraction of the second eye of the spectacle wearer.
  • the first spectacle lens is now optimized by minimizing a first primary merit function, while the second spectacle lens A( 2 ) remains unchanged.
  • this step S 1 p only the parameters or degrees of freedom of the first spectacle lens are varied to obtain a primarily optimized first spectacle lens B( 1 ).
  • the numerical effort can be compared to a conventional monocular optimization. Due to the consideration of the values of the second spectacle lens, in particular the prismatic powers of the second spectacle lens, on the basis of the determination of corresponding directions of sight, a clear improvement of the binocular properties of the spectacle lens pair is achieved though.
  • a monocularly optimized lens might serve as a starting lens for a variation and optimization process of the first spectacle lens in the first primary calculation or optimization step.
  • a secondarily optimized second spectacle lens C( 2 ) is determined by minimizing a second secondary merit function for the second spectacle lens in a second secondary calculation or optimization step S 2 s starting from the first spectacle lens B( 1 ) determined in the first primary calculation or optimization step s 1 p .
  • the primarily optimized first spectacle lens B( 1 ) remains unchanged here.
  • the starting value A( 2 ) might serve as the starting lens for a variation or optimization process of the second spectacle lens in the second secondary calculation or optimization step S 2 s , wherein the lens is varied according to a suitable algorithm until the second secondary merit function has reached the desired convergence.
  • FIG. 3 illustrates as further calculation or optimization steps a first tertiary calculation or optimization step S 1 t for determining a tertiarily optimized first spectacle lens D( 1 ) depending on the secondarily optimized second spectacle lens C( 2 ), and a second quarternary calculation or optimization step S 2 q for determining a quarternarily optimized second spectacle lens E( 2 ) depending on the tertiarily optimized first spectacle lens D( 1 ).
  • a better binocular optimization of the spectacle lens pair is achieved with an increasing number of these successively performed calculation or optimization steps.
  • a termination criterion is defined to thus define as to when the optimization is considered to be sufficiently good.
  • the optimization is terminated after the first tertiary calculation or optimization step in FIG. 3 .
  • the spectacle lens pair [D( 1 ); C( 2 )] which consists of the tertiarily optimized first spectacle lens D( 1 ) and the secondarily optimized second spectacle lens C( 2 ), is subsequently manufactured or produced for the spectacle wearer.
  • FIG. 4 shows a schematic representation of a method according to a second preferred embodiment.
  • a first primary calculation or optimization step is performed by analogy with the embodiment shown in FIG. 3 .
  • a second secondary calculation or optimization step S 2 s comprises copying and mirroring the primarily optimized first spectacle lens B( 1 ) to obtain the secondarily optimized second spectacle lens C( 2 ).
  • a subsequent first tertiary calculation or optimization step S 1 t might again be performed by analogy with the embodiment illustrated in FIG.
  • FIG. 5 shows a schematic representation of a method according to a third preferred embodiment.
  • a starting lens A( 2 ) in the form of starting values for the second lens also a starting lens A( 1 ) in the form of starting values for the first lens is provided.
  • this first spectacle lens A( 1 ) is already optimized monocularly for the correction of the eye refraction of the first eye of the spectacle wearer.
  • the preferred method shown here comprises a second primary calculation or optimization step S 2 p in which the second spectacle lens is optimized by minimizing a second primary merit function, while the first spectacle lens A( 1 ) remains unchanged.
  • the lens A( 2 ) might serve as a starting point or starting lens for a variation or optimization process of the second spectacle lens in the second primary calculation or optimization step S 2 p .
  • the lens A( 1 ) might serve as a starting point or starting lens for a variation or optimization process of the first spectacle lens in the first primary calculation or optimization step S 1 p.
  • a secondarily optimized first spectacle lens C( 1 ) is determined by minimizing a first secondary merit function for the first spectacle lens in a first secondary calculation or optimization step S 1 s starting from the second spectacle lens B( 2 ) determined in the second primary calculation or optimization step S 2 p .
  • the primarily optimized second spectacle lens B( 2 ) remains unchanged here.
  • further first or second tertiary, quarternarly, etc. calculation or optimization steps can be performed until the respective calculation or optimization results D( 1 ), D( 2 ), E( 1 ), E( 2 ), etc. have reached a sufficient convergence.
  • the iteration is terminated after the determination of the spectacle lens pair [C( 1 ); C( 2 )], and this spectacle lens pair is manufactured or produced for the spectacle wearer.
  • FIG. 6 and FIG. 7 two different spectacle lenses are compared, wherein the first one ( FIG. 6 , FIG. 7A , FIG. 7C ) has been optimized according to Listing's rule L1, and the second one ( FIG. 7B , FIG. 7D ) constitutes a result of a first primary calculation or optimization step of a method according to a preferred embodiment considering Listing's rule L2.
  • sph 2.0 D
  • cyl 4.0 D
  • A30° (axial position 30°)
  • add 3.0 (addition)
  • FIG. 6 the comparison a) is shown, at the top left there is shown the common astigmatism assessment that comes up for an L2-optimized lens if L1 really reflects the physiology in a realistic manner. At the bottom left there is shown the associated course of the refractive power and the astigmatism on the main line. However, if alternatively the physiological reality is reflected by L2, then the same lens looks completely different (see FIGS. 6B and 6D ), i.e. the stronger, the stronger the convergence is. Since it particularly increases in the near portion, the cylinder deficit becomes particularly large there due to the inappropriate axial position, and, accordingly, the near portion would be much narrower than one might think according to L1.
  • FIGS. 7B and 7D show the same graphics as FIGS. 6B and 6D for the L1-optimized lens considered with L2. It can be seen that the L2-assessed astigmatism on the main line resumes a similarly good course as the L1-assessed value of the L1-lens due to the L2 optimization.
  • the embodiment according to L2 shown in the drawings is disclosed in the table of FIG. 8 for a lens that belongs to the prescription sph 2.0 D, which is the same on the right and on the left.
  • the optimized back surface is shown, the front surface is spherical with a base curve of 8.5 D.
  • the illustrated spectacle lens results in particular after one single primary calculation or optimization step.
  • this spectacle lens subsequently remains unchanged and the other spectacle lens is determined accordingly in a secondary calculation or optimization step.
  • the other spectacle lens might also be determined by copying and mirroring the shown spectacle lens.
  • this other spectacle lens remains unchanged in the form obtained in the secondary calculation or optimization step or by copying or mirroring, and the one spectacle lens (which has been optimized first) is optimized further in a tertiary calculation or optimization step.
  • These calculation or optimization steps are iterated or repeated preferably until a sufficient convergence of the calculation or optimization method has been achieved, i.e. until the deviations of successive optimization results of the individual spectacle lenses are sufficiently small, in particular smaller than a predetermined threshold.
  • a computer program product i.e. a computer program claimed in the patent category of an apparatus
  • the computer program product 200 can be stored on a physical storage medium or program carrier 120 .
  • the computer program product can further be provided as a program signal.
  • the processor 110 of the computer 100 is a central processor (CPU), a microcontroller (MCU), or a digital signal processor (DSP), for example.
  • the memory 120 symbolizes elements storing data and commands either in a temporally limited or permanent fashion. Even though the memory 120 is shown as part of the computer 100 for the sake of better understanding, the storage function can be implemented elsewhere, e.g. in the processor itself (e.g. cache, register) and/or also in the network 300 , for example in the computers 101 / 102 .
  • the memory 120 may be a Read-Only Memory (ROM), a Random-Access Memory (RAM), a programmable or non-programmable PROM, or a memory with other access options.
  • ROM Read-Only Memory
  • RAM Random-Access Memory
  • PROM programmable or non-programmable PROM
  • the memory 120 can physically be implemented or stored on a computer-readable program carrier, for example on:
  • the memory 120 is distributed across different media. Parts of the memory 120 can be attached in a fixed or exchangeable manner.
  • the computer 100 uses known means, such as floppy-disk drives, for reading and writing.
  • the memory 120 stores support components, such as a Bios (Basic Input Output System), an operating system (OS), a program library, a compiler, an interpreter and/or a spreadsheet or word processing program. These components are not illustrated for the sake of better understanding. Support components are commercially available and can be installed or implemented on the computer 100 by experts.
  • the processor 110 , the memory 120 , the input and output devices are connected via at least one bus 130 and/or are optionally coupled via the (mono, bi, or multi-directional) network 300 (e.g. the Internet) or are in communication with each other.
  • the bus 130 and the network 300 represent logical and/or physical connections, which transmit both commands and data signals.
  • the signals within the computer 100 are mainly electrical signals, whereas the signals in the network are electrical, magnetic and/or optical signals or also wireless radio signals.
  • Network environments are common in offices, company-wide computer networks, Intranets, and on the Internet (i.e. World Wide Web). The physical distance between the computers in the network does not have any significance.
  • the network 300 may be a wireless or wired network. Possible examples for implementations of the network 300 are: a Local Area Network (LAN), a Wireless Local Area Network (WLAN), a Wide Area Network (WAN), an ISDN network, an infrared link (IR), a radio link, such as the Universal Mobile Telecommunication System (UMTS) or a satellite link. Transmission protocols and data formats are known.
  • TCP/IP Transmission Control Protocol/Internet Protocol
  • HTTP Hypertext Transfer Protocol
  • URL Uniform Resource Locator
  • HTML Hypertext Markup Language
  • XML Extensible Markup Language
  • WML Wireless Application Markup Language
  • WAP Wireless Application Protocol
  • the input and output devices may be part of a user interface 160 .
  • the input device 140 is a device that provides data and instructions to be processed by the computer 100 .
  • the input device 140 is a keyboard, a pointing device (mouse, trackball, cursor arrows), microphone, joystick, scanner.
  • the examples are all devices with human interaction, preferably via a graphical user interface, the device 140 can also do without human interaction, such as a wireless receiver (e.g. by a satellite or terrestrial antenna), a sensor (e.g. a thermometer), a counter (e.g. a piece counter in a factory).
  • the input device 140 can be used for reading the storage medium or carrier 170 .
  • the output device 150 designates a device displaying instructions and data that have already been processed. Examples are a monitor or a different display (cathode ray tube, flat screen, liquid crystal display, loudspeakers, printer, vibrating alert). Similar to the input device 140 , the output device 150 preferably communicates with the user, preferably via a graphical user interface. The output device may also communicate with other computers 101 , 102 , etc.
  • the input device 140 and the output device 150 can be combined in one single device. Both devices 140 , 150 can be provided selectively.
  • the computer program product 200 comprises program instructions and optionally data causing the processor 110 , among others, to perform the method according to the exemplary embodiments thereof.
  • the computer program 200 defines the function of the computer 100 and its interaction with the network system 300 .
  • the computer program product 200 can be provided as a source code in an arbitrary programming language and/or as a binary code in a compiled form (i.e. machine-readable form).
  • a skilled person is able to use the computer program product 200 with any of the above-explained support components (e.g. compiler, interpreter, operating system).
  • the computer program product 200 is shown as being stored in the memory 120 , the computer program product 100 may as well be stored elsewhere (e.g. on the storage medium or program carrier 170 ).
  • the storage medium 170 is exemplarily shown to be external to the computer 100 .
  • the storage medium 170 can be inserted into the input device 140 .
  • the storage medium 170 can be implemented as an arbitrary computer-readably carrier, for example as one of the above-explained media (cf. memory 120 ).
  • the program signal 180 which is preferably transferred to the computer 100 via the network 300 , can also include the computer program product 200 or be a part of it.
  • Interfaces for coupling the individual components of the computer system 50 are also known.
  • the interfaces are not shown for the sake of simplification.
  • An interface can e.g. have a serial interface, a parallel interface, a gameport, a universal serial bus (USB), an internal or external modem, a graphics adapter and/or a soundcard.
  • USB universal serial bus

Landscapes

  • Health & Medical Sciences (AREA)
  • Ophthalmology & Optometry (AREA)
  • Physics & Mathematics (AREA)
  • General Health & Medical Sciences (AREA)
  • General Physics & Mathematics (AREA)
  • Optics & Photonics (AREA)
  • Eyeglasses (AREA)
US13/129,354 2008-11-13 2009-11-12 Optimization and production of an eyeglass lens for correcting an astigmatic refraction Active 2030-06-11 US8506076B2 (en)

Applications Claiming Priority (7)

Application Number Priority Date Filing Date Title
DE102008057206.3 2008-11-13
DE200810057205 DE102008057205A1 (de) 2008-11-13 2008-11-13 Optimierung und Herstellung eines Brillenglases zur Korrektion einer astigmatischen Refraktion
DE102008057205.5 2008-11-13
DE102008057206 2008-11-13
DE102008057205 2008-11-13
DE200810057206 DE102008057206A1 (de) 2008-11-13 2008-11-13 Optimierung und Herstellung eines Brillenglaspaares zur Korrektion einer astigmatischen Refraktion
PCT/EP2009/008069 WO2010054817A1 (fr) 2008-11-13 2009-11-12 Optimisation et fabrication d'un verre de lunettes pour la correction d'une réfraction astigmatique

Publications (2)

Publication Number Publication Date
US20110299032A1 US20110299032A1 (en) 2011-12-08
US8506076B2 true US8506076B2 (en) 2013-08-13

Family

ID=41718241

Family Applications (1)

Application Number Title Priority Date Filing Date
US13/129,354 Active 2030-06-11 US8506076B2 (en) 2008-11-13 2009-11-12 Optimization and production of an eyeglass lens for correcting an astigmatic refraction

Country Status (4)

Country Link
US (1) US8506076B2 (fr)
EP (1) EP2356507B1 (fr)
JP (1) JP5571094B2 (fr)
WO (1) WO2010054817A1 (fr)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US9921418B2 (en) * 2014-02-19 2018-03-20 Hoy A Lens Thailand Ltd. Spectacle lens supply system, program therefor, prism amount determination device, prism amount determination method, and method for producing spectacle lens

Families Citing this family (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DE102010052936B4 (de) 2010-11-30 2015-07-02 Rodenstock Gmbh Verfahren zur Berechnung eines Brillenglases mit verbessertem Nahbereich
DE102012000390A1 (de) * 2012-01-11 2013-07-11 Rodenstock Gmbh Brillenglasoptimierung mit individuellem Augenmodell
US10613347B2 (en) 2012-01-11 2020-04-07 Rodenstock Gmbh Population of an eye model for optimizing spectacle lenses with measurement data
DE102017007974A1 (de) 2017-01-27 2018-08-02 Rodenstock Gmbh Belegung eines Augenmodells zur Optimierung von Brillengläsern mit Messdaten
CA2966488C (fr) 2014-10-31 2021-11-02 Essilor International(Compagnie Generale D'optique) Procede de conception optique d'une paire de lentilles ophtalmiques et paire de lentilles ophtalmiques ainsi obtenue
DE102017000777A1 (de) 2017-01-27 2018-08-02 Rodenstock Gmbh Verfahren zur Berücksichtigung unterschiedlicher prismatischer Korrekturen in der Ferne und der Nähe
JP6364517B2 (ja) * 2017-03-27 2018-07-25 株式会社ニコン・エシロール 眼鏡レンズ設計方法および眼鏡レンズ製造方法
JP7186082B2 (ja) * 2018-12-26 2022-12-08 ホヤ レンズ タイランド リミテッド 眼鏡レンズの設計方法および製造方法
DE102021000451A1 (de) 2021-01-29 2022-08-04 Rodenstock Gmbh System und Verfahren fur die Bestelleingangsverarbeitung und Fertigung von Brillengläsern

Citations (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP0039498A2 (fr) 1980-05-02 1981-11-11 Firma Carl Zeiss Verre de lunettes à effet astigmatique
US6382789B1 (en) 1998-09-28 2002-05-07 Essilor International Toric ophthalmic lenses
US20030107702A1 (en) 2001-04-26 2003-06-12 Tetsuma Yamakaji Eyeglass lens designing method and eyeglass lens
WO2007069006A1 (fr) 2005-12-16 2007-06-21 Essilor International (Compagnie Générale d'Optique) Procede de determination d'une lentille ophtalmique
EP1837699A1 (fr) 2006-03-24 2007-09-26 ESSILOR INTERNATIONAL Compagnie Générale d'Optique Procédé de détermination d'une lentille ophtalmique progressive
WO2008089995A1 (fr) 2007-01-25 2008-07-31 Rodenstock Gmbh Procédé de calcul d'un verre de lunettes à position variable des points de référence
WO2008089998A1 (fr) 2007-01-25 2008-07-31 Rodenstock Gmbh Procédé pour déterminer les points de référence de loin et de près
WO2008089996A1 (fr) 2007-01-25 2008-07-31 Rodenstock Gmbh Optimiseur flexible de verres progressifs
US8100530B2 (en) * 2006-01-20 2012-01-24 Clarity Medical Systems, Inc. Optimizing vision correction procedures

Family Cites Families (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP4437482B2 (ja) * 2003-11-27 2010-03-24 Ｈｏｙａ株式会社 両面非球面型累進屈折力レンズおよびその設計方法

Patent Citations (13)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US4613217A (en) 1980-05-02 1986-09-23 Carl-Zeiss-Stiftung, Heidenheim/Brenz Spectacle lens having astigmatic power
EP0039498A2 (fr) 1980-05-02 1981-11-11 Firma Carl Zeiss Verre de lunettes à effet astigmatique
US6382789B1 (en) 1998-09-28 2002-05-07 Essilor International Toric ophthalmic lenses
US20030107702A1 (en) 2001-04-26 2003-06-12 Tetsuma Yamakaji Eyeglass lens designing method and eyeglass lens
WO2007069006A1 (fr) 2005-12-16 2007-06-21 Essilor International (Compagnie Générale d'Optique) Procede de determination d'une lentille ophtalmique
US8100530B2 (en) * 2006-01-20 2012-01-24 Clarity Medical Systems, Inc. Optimizing vision correction procedures
EP1837699A1 (fr) 2006-03-24 2007-09-26 ESSILOR INTERNATIONAL Compagnie Générale d'Optique Procédé de détermination d'une lentille ophtalmique progressive
WO2008089995A1 (fr) 2007-01-25 2008-07-31 Rodenstock Gmbh Procédé de calcul d'un verre de lunettes à position variable des points de référence
WO2008089996A1 (fr) 2007-01-25 2008-07-31 Rodenstock Gmbh Optimiseur flexible de verres progressifs
US20100157242A1 (en) * 2007-01-25 2010-06-24 Rodenstock Gmbh Method for Calculating a Spectacle Lens Having a Variable Position of the Reference Points
US20100296055A1 (en) 2007-01-25 2010-11-25 Rodenstock Gmbh Method for determining far and near reference points
US20100309428A1 (en) 2007-01-25 2010-12-09 Rod Enstock GmbH Flexible Progressive Lens Optimizer
WO2008089998A1 (fr) 2007-01-25 2008-07-31 Rodenstock Gmbh Procédé pour déterminer les points de référence de loin et de près

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US9921418B2 (en) * 2014-02-19 2018-03-20 Hoy A Lens Thailand Ltd. Spectacle lens supply system, program therefor, prism amount determination device, prism amount determination method, and method for producing spectacle lens

Also Published As

Publication number Publication date
EP2356507A1 (fr) 2011-08-17
US20110299032A1 (en) 2011-12-08
JP5571094B2 (ja) 2014-08-13
WO2010054817A1 (fr) 2010-05-20
JP2012508895A (ja) 2012-04-12
EP2356507B1 (fr) 2013-11-20

Similar Documents

Publication Publication Date Title
US8506076B2 (en) Optimization and production of an eyeglass lens for correcting an astigmatic refraction
US8992014B2 (en) Method for calculating a spectacle lens with improved near zone
US8960902B2 (en) Method and apparatus for producing a spectacle lens in consideration of monocular and binocular properties
JP5749180B2 (ja) プログレッシブレンズデザインの自動変更
JP5312940B2 (ja) プログレッシブアディションレンズの性能を計算するためのツール
US9239472B2 (en) Method for determining binocular performance of a pair of spectacle lenses
US8915589B2 (en) Method for calculating a spectacle lens using viewing angle-dependent prescription data
US8733931B2 (en) Method for determining binocular performance of a pair of spectacle lenses
JP2016035591A (ja) 眼鏡レンズの製造方法
US20100198515A1 (en) Method for Calculation of the Magnification and/or Distortion and Method for Production of a Spectacle Lens with Low Magnification and/or Distortion
JP7461873B2 (ja) 視覚モデルを考慮した眼鏡レンズの最適化
US9459468B2 (en) Method of making a spectacle lens providing an astigmatic correction and spectacles including said spectacle lens
JP5872785B2 (ja) 累進屈折力レンズの設計方法
WO2016104808A1 (fr) Paire de verres de lunettes pour les deux yeux, procédé de production de celle-ci, système de fourniture, et programme de fourniture
JP5822483B2 (ja) 眼鏡用レンズ
JP5822482B2 (ja) 眼鏡用レンズ
DE102008057206A1 (de) Optimierung und Herstellung eines Brillenglaspaares zur Korrektion einer astigmatischen Refraktion
DE102008057205A1 (de) Optimierung und Herstellung eines Brillenglases zur Korrektion einer astigmatischen Refraktion
WO2016142363A1 (fr) Procédé de détermination d'une paire de lentilles ophtalmiques
WO2018079835A1 (fr) Procédé d'évaluation de verre de lunettes, procédé de conception de verre de lunettes, procédé de fabrication de verre de lunettes et dispositif d'évaluation de verre de lunettes
JP6294466B2 (ja) 累進屈折力レンズの設計方法および製造方法、ならびに累進屈折力レンズ製造システム
JPWO2019034525A5 (fr)

Legal Events

Date Code Title Description
AS Assignment

Owner name: RODENSTOCK GMBH, GERMANY

Free format text: ASSIGNMENT OF ASSIGNORS INTEREST;ASSIGNORS:BECKEN, WOLFGANG;WELK, ANDREA;SEIDEMANN, ANNE;AND OTHERS;SIGNING DATES FROM 20110909 TO 20110925;REEL/FRAME:027088/0335

STCF Information on status: patent grant

Free format text: PATENTED CASE

FPAY Fee payment

Year of fee payment: 4

FEPP Fee payment procedure

Free format text: 7.5 YR SURCHARGE - LATE PMT W/IN 6 MO, LARGE ENTITY (ORIGINAL EVENT CODE: M1555); ENTITY STATUS OF PATENT OWNER: LARGE ENTITY

MAFP Maintenance fee payment

Free format text: PAYMENT OF MAINTENANCE FEE, 8TH YEAR, LARGE ENTITY (ORIGINAL EVENT CODE: M1552); ENTITY STATUS OF PATENT OWNER: LARGE ENTITY

Year of fee payment: 8